TSTP Solution File: GRP213-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : GRP213-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:40:29 EDT 2023
% Result : Unsatisfiable 17.12s 7.60s
% Output : CNFRefutation 17.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 35
% Syntax : Number of formulae : 366 ( 289 unt; 11 typ; 0 def)
% Number of atoms : 469 ( 454 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 240 ( 126 ~; 114 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 173 (; 173 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ multiply > #nlpp > inverse > sk_c8 > sk_c7 > sk_c6 > sk_c5 > sk_c4 > sk_c3 > sk_c2 > sk_c1 > identity
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(sk_c4,type,
sk_c4: $i ).
tff(sk_c7,type,
sk_c7: $i ).
tff(sk_c5,type,
sk_c5: $i ).
tff(sk_c2,type,
sk_c2: $i ).
tff(sk_c3,type,
sk_c3: $i ).
tff(inverse,type,
inverse: $i > $i ).
tff(sk_c8,type,
sk_c8: $i ).
tff(multiply,type,
multiply: ( $i * $i ) > $i ).
tff(sk_c6,type,
sk_c6: $i ).
tff(sk_c1,type,
sk_c1: $i ).
tff(identity,type,
identity: $i ).
tff(f_53,axiom,
! [X] : ( multiply(identity,X) = X ),
file(unknown,unknown) ).
tff(f_57,axiom,
! [X] : ( multiply(inverse(X),X) = identity ),
file(unknown,unknown) ).
tff(f_60,axiom,
! [X,Y,Z] : ( multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_119,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_68,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_86,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_164,axiom,
! [X5,X6,X3,X1,X2,X4] :
( ( multiply(X4,sk_c8) != sk_c7 )
| ( inverse(X4) != sk_c8 )
| ( multiply(X5,X6) != sk_c8 )
| ( inverse(X5) != X6 )
| ( inverse(sk_c8) != sk_c7 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( multiply(sk_c8,X2) != sk_c7 )
| ( multiply(X3,sk_c8) != X2 )
| ( inverse(X3) != sk_c8 ) ),
file(unknown,unknown) ).
tff(f_101,axiom,
( ( multiply(sk_c2,sk_c3) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_74,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_77,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_80,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_65,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_71,axiom,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_128,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_131,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_134,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_122,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c4) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_125,axiom,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_92,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_83,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
file(unknown,unknown) ).
tff(f_98,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
file(unknown,unknown) ).
tff(f_95,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
file(unknown,unknown) ).
tff(f_89,axiom,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
file(unknown,unknown) ).
tff(c_2,plain,
! [X_1] : ( multiply(identity,X_1) = X_1 ),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_4,plain,
! [X_2] : ( multiply(inverse(X_2),X_2) = identity ),
inference(cnfTransformation,[status(thm)],[f_57]) ).
tff(c_52828,plain,
! [X_332,Y_333,Z_334] : ( multiply(multiply(X_332,Y_333),Z_334) = multiply(X_332,multiply(Y_333,Z_334)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_52861,plain,
! [X_2,Z_334] : ( multiply(inverse(X_2),multiply(X_2,Z_334)) = multiply(identity,Z_334) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_52828]) ).
tff(c_53709,plain,
! [X_355,Z_356] : ( multiply(inverse(X_355),multiply(X_355,Z_356)) = Z_356 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52861]) ).
tff(c_52872,plain,
! [X_2,Z_334] : ( multiply(inverse(X_2),multiply(X_2,Z_334)) = Z_334 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52861]) ).
tff(c_53993,plain,
! [X_360,Z_361] : ( multiply(inverse(inverse(X_360)),Z_361) = multiply(X_360,Z_361) ),
inference(superposition,[status(thm),theory(equality)],[c_53709,c_52872]) ).
tff(c_54014,plain,
! [X_360] : ( multiply(X_360,inverse(X_360)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_53993,c_4]) ).
tff(c_50522,plain,
! [X_287,Y_288,Z_289] : ( multiply(multiply(X_287,Y_288),Z_289) = multiply(X_287,multiply(Y_288,Z_289)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_50558,plain,
! [X_2,Z_289] : ( multiply(inverse(X_2),multiply(X_2,Z_289)) = multiply(identity,Z_289) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_50522]) ).
tff(c_51407,plain,
! [X_305,Z_306] : ( multiply(inverse(X_305),multiply(X_305,Z_306)) = Z_306 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50558]) ).
tff(c_50570,plain,
! [X_2,Z_289] : ( multiply(inverse(X_2),multiply(X_2,Z_289)) = Z_289 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50558]) ).
tff(c_51592,plain,
! [X_308,Z_309] : ( multiply(inverse(inverse(X_308)),Z_309) = multiply(X_308,Z_309) ),
inference(superposition,[status(thm),theory(equality)],[c_51407,c_50570]) ).
tff(c_51455,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_51407]) ).
tff(c_51599,plain,
! [X_308] : ( multiply(X_308,identity) = X_308 ),
inference(superposition,[status(thm),theory(equality)],[c_51592,c_51455]) ).
tff(c_127,plain,
! [X_14,Y_15,Z_16] : ( multiply(multiply(X_14,Y_15),Z_16) = multiply(X_14,multiply(Y_15,Z_16)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_154,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_127]) ).
tff(c_164,plain,
! [X_2,Z_16] : ( multiply(inverse(X_2),multiply(X_2,Z_16)) = Z_16 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154]) ).
tff(c_975,plain,
! [X_34,Z_35] : ( multiply(inverse(X_34),multiply(X_34,Z_35)) = Z_35 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154]) ).
tff(c_1227,plain,
! [X_40,Z_41] : ( multiply(inverse(inverse(X_40)),Z_41) = multiply(X_40,Z_41) ),
inference(superposition,[status(thm),theory(equality)],[c_164,c_975]) ).
tff(c_1008,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_975]) ).
tff(c_1241,plain,
! [X_40] : ( multiply(X_40,identity) = X_40 ),
inference(superposition,[status(thm),theory(equality)],[c_1227,c_1008]) ).
tff(c_1281,plain,
! [X_40] : ( multiply(X_40,inverse(X_40)) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_1227]) ).
tff(c_42,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_111,plain,
multiply(sk_c2,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_42]) ).
tff(c_44,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_86,plain,
inverse(sk_c2) = sk_c3,
inference(splitLeft,[status(thm)],[c_44]) ).
tff(c_90,plain,
multiply(sk_c3,sk_c2) = identity,
inference(superposition,[status(thm),theory(equality)],[c_86,c_4]) ).
tff(c_148,plain,
! [Z_16] : ( multiply(sk_c3,multiply(sk_c2,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_90,c_127]) ).
tff(c_166,plain,
! [Z_17] : ( multiply(sk_c3,multiply(sk_c2,Z_17)) = Z_17 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_148]) ).
tff(c_178,plain,
multiply(sk_c3,sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_111,c_166]) ).
tff(c_254,plain,
! [X_20,Z_21] : ( multiply(inverse(X_20),multiply(X_20,Z_21)) = Z_21 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154]) ).
tff(c_287,plain,
multiply(inverse(sk_c3),sk_c3) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_178,c_254]) ).
tff(c_324,plain,
sk_c8 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_287]) ).
tff(c_10,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_68]) ).
tff(c_104,plain,
multiply(sk_c1,sk_c8) = sk_c7,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_22,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_86]) ).
tff(c_73,plain,
inverse(sk_c1) = sk_c8,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_77,plain,
multiply(sk_c8,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_73,c_4]) ).
tff(c_151,plain,
! [Z_16] : ( multiply(sk_c8,multiply(sk_c1,Z_16)) = multiply(identity,Z_16) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_127]) ).
tff(c_190,plain,
! [Z_18] : ( multiply(sk_c8,multiply(sk_c1,Z_18)) = Z_18 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151]) ).
tff(c_202,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_104,c_190]) ).
tff(c_281,plain,
multiply(inverse(sk_c8),sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_202,c_254]) ).
tff(c_323,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_281]) ).
tff(c_56,plain,
! [X3_8,X1_9,X5_6,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( inverse(sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_164]) ).
tff(c_189,plain,
inverse(sk_c8) != sk_c7,
inference(splitLeft,[status(thm)],[c_56]) ).
tff(c_330,plain,
inverse(sk_c8) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_323,c_189]) ).
tff(c_369,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_324,c_330]) ).
tff(c_343,plain,
inverse(sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_324,c_73]) ).
tff(c_376,plain,
multiply(identity,sk_c1) = identity,
inference(superposition,[status(thm),theory(equality)],[c_343,c_4]) ).
tff(c_384,plain,
multiply(inverse(identity),identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_376,c_164]) ).
tff(c_396,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_384]) ).
tff(c_400,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_396,c_343]) ).
tff(c_404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_369,c_400]) ).
tff(c_406,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_410,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_406,c_4]) ).
tff(c_422,plain,
! [Z_23] : ( multiply(sk_c8,multiply(sk_c1,Z_23)) = Z_23 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_151]) ).
tff(c_434,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_104,c_422]) ).
tff(c_6,plain,
! [X_3,Y_4,Z_5] : ( multiply(multiply(X_3,Y_4),Z_5) = multiply(X_3,multiply(Y_4,Z_5)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_417,plain,
! [Z_5] : ( multiply(sk_c7,multiply(sk_c8,Z_5)) = multiply(identity,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_410,c_6]) ).
tff(c_553,plain,
! [Z_26] : ( multiply(sk_c7,multiply(sk_c8,Z_26)) = Z_26 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_417]) ).
tff(c_565,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_434,c_553]) ).
tff(c_575,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_410,c_565]) ).
tff(c_579,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_575,c_406]) ).
tff(c_588,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_579,c_4]) ).
tff(c_598,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_588,c_2]) ).
tff(c_607,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_598,c_579]) ).
tff(c_670,plain,
! [X_27,Z_28] : ( multiply(inverse(X_27),multiply(X_27,Z_28)) = Z_28 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_154]) ).
tff(c_732,plain,
! [X_29] : ( multiply(inverse(inverse(X_29)),identity) = X_29 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_670]) ).
tff(c_738,plain,
! [X_29] : ( multiply(inverse(inverse(inverse(X_29))),X_29) = identity ),
inference(superposition,[status(thm),theory(equality)],[c_732,c_164]) ).
tff(c_446,plain,
! [Z_24] : ( multiply(sk_c7,multiply(sk_c8,Z_24)) = Z_24 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_417]) ).
tff(c_458,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_434,c_446]) ).
tff(c_468,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_410,c_458]) ).
tff(c_472,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_468,c_406]) ).
tff(c_481,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_472,c_4]) ).
tff(c_491,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_481,c_2]) ).
tff(c_500,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_491,c_472]) ).
tff(c_405,plain,
! [X4_11,X5_6,X3_8,X1_9] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_56]) ).
tff(c_445,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_405]) ).
tff(c_535,plain,
! [X1_25] :
( ( multiply(X1_25,identity) != identity )
| ( inverse(X1_25) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_491,c_491,c_468,c_445]) ).
tff(c_543,plain,
inverse(inverse(identity)) != identity,
inference(superposition,[status(thm),theory(equality)],[c_4,c_535]) ).
tff(c_551,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_500,c_500,c_543]) ).
tff(c_552,plain,
! [X3_8,X5_6,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_405]) ).
tff(c_641,plain,
! [X3_8,X5_6,X4_11] :
( ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != identity )
| ( multiply(X5_6,inverse(X5_6)) != identity )
| ( inverse(X4_11) != identity )
| ( multiply(X4_11,identity) != identity ) ),
inference(demodulation,[status(thm),theory(equality)],[c_598,c_575,c_598,c_598,c_598,c_2,c_598,c_575,c_598,c_552]) ).
tff(c_942,plain,
! [X4_33] :
( ( inverse(X4_33) != identity )
| ( multiply(X4_33,identity) != identity ) ),
inference(splitLeft,[status(thm)],[c_641]) ).
tff(c_946,plain,
inverse(inverse(inverse(inverse(identity)))) != identity,
inference(superposition,[status(thm),theory(equality)],[c_738,c_942]) ).
tff(c_971,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_607,c_607,c_607,c_607,c_946]) ).
tff(c_972,plain,
! [X5_6,X3_8] :
( ( multiply(X5_6,inverse(X5_6)) != identity )
| ( inverse(X3_8) != identity )
| ( multiply(X3_8,identity) != identity ) ),
inference(splitRight,[status(thm)],[c_641]) ).
tff(c_48719,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_1241,c_1281,c_972]) ).
tff(c_48721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48719,c_607]) ).
tff(c_48723,plain,
multiply(sk_c2,sk_c3) != sk_c8,
inference(splitRight,[status(thm)],[c_42]) ).
tff(c_32,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c3) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_48750,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_48723,c_32]) ).
tff(c_48754,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_48750,c_4]) ).
tff(c_48780,plain,
! [X_254,Y_255,Z_256] : ( multiply(multiply(X_254,Y_255),Z_256) = multiply(X_254,multiply(Y_255,Z_256)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_48819,plain,
! [Z_256] : ( multiply(sk_c8,multiply(sk_c1,Z_256)) = multiply(identity,Z_256) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_48780]) ).
tff(c_48850,plain,
! [Z_258] : ( multiply(sk_c8,multiply(sk_c1,Z_258)) = Z_258 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48819]) ).
tff(c_48862,plain,
multiply(sk_c8,sk_c7) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_104,c_48850]) ).
tff(c_48804,plain,
! [Z_256] : ( multiply(sk_c7,multiply(sk_c8,Z_256)) = multiply(identity,Z_256) ),
inference(superposition,[status(thm),theory(equality)],[c_48754,c_48780]) ).
tff(c_48873,plain,
! [Z_259] : ( multiply(sk_c7,multiply(sk_c8,Z_259)) = Z_259 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48804]) ).
tff(c_48885,plain,
multiply(sk_c7,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_48862,c_48873]) ).
tff(c_48904,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48754,c_48885]) ).
tff(c_49004,plain,
inverse(sk_c8) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_48904,c_48750]) ).
tff(c_49013,plain,
multiply(identity,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49004,c_4]) ).
tff(c_49032,plain,
sk_c8 = identity,
inference(superposition,[status(thm),theory(equality)],[c_49013,c_2]) ).
tff(c_49046,plain,
multiply(sk_c2,sk_c3) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_49032,c_48723]) ).
tff(c_48822,plain,
! [X_2,Z_256] : ( multiply(inverse(X_2),multiply(X_2,Z_256)) = multiply(identity,Z_256) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_48780]) ).
tff(c_49118,plain,
! [X_261,Z_262] : ( multiply(inverse(X_261),multiply(X_261,Z_262)) = Z_262 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_48822]) ).
tff(c_49145,plain,
multiply(inverse(sk_c3),identity) = sk_c2,
inference(superposition,[status(thm),theory(equality)],[c_90,c_49118]) ).
tff(c_49177,plain,
! [Z_5] : ( multiply(inverse(sk_c3),multiply(identity,Z_5)) = multiply(sk_c2,Z_5) ),
inference(superposition,[status(thm),theory(equality)],[c_49145,c_6]) ).
tff(c_49258,plain,
! [Z_265] : ( multiply(inverse(sk_c3),Z_265) = multiply(sk_c2,Z_265) ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49177]) ).
tff(c_49278,plain,
multiply(sk_c2,sk_c3) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49258,c_4]) ).
tff(c_49296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49046,c_49278]) ).
tff(c_49298,plain,
multiply(sk_c1,sk_c8) != sk_c7,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_14,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_74]) ).
tff(c_49863,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_49298,c_14]) ).
tff(c_16,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_77]) ).
tff(c_49875,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_49298,c_16]) ).
tff(c_18,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_80]) ).
tff(c_49848,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_49298,c_18]) ).
tff(c_49852,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49848,c_4]) ).
tff(c_49884,plain,
! [X_277,Y_278,Z_279] : ( multiply(multiply(X_277,Y_278),Z_279) = multiply(X_277,multiply(Y_278,Z_279)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_49908,plain,
! [Z_279] : ( multiply(sk_c8,multiply(sk_c5,Z_279)) = multiply(identity,Z_279) ),
inference(superposition,[status(thm),theory(equality)],[c_49852,c_49884]) ).
tff(c_49964,plain,
! [Z_282] : ( multiply(sk_c8,multiply(sk_c5,Z_282)) = Z_282 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49908]) ).
tff(c_49976,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_49875,c_49964]) ).
tff(c_49980,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_49863,c_49976]) ).
tff(c_8,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_49319,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_49298,c_8]) ).
tff(c_49323,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49319,c_4]) ).
tff(c_49362,plain,
! [X_266,Y_267,Z_268] : ( multiply(multiply(X_266,Y_267),Z_268) = multiply(X_266,multiply(Y_267,Z_268)) ),
inference(cnfTransformation,[status(thm)],[f_60]) ).
tff(c_49389,plain,
! [Z_268] : ( multiply(sk_c7,multiply(sk_c8,Z_268)) = multiply(identity,Z_268) ),
inference(superposition,[status(thm),theory(equality)],[c_49323,c_49362]) ).
tff(c_49665,plain,
! [Z_274] : ( multiply(sk_c7,multiply(sk_c8,Z_274)) = Z_274 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49389]) ).
tff(c_49689,plain,
multiply(sk_c7,identity) = sk_c1,
inference(superposition,[status(thm),theory(equality)],[c_77,c_49665]) ).
tff(c_49332,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_49298,c_18]) ).
tff(c_49336,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49332,c_4]) ).
tff(c_49683,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_49336,c_49665]) ).
tff(c_49744,plain,
sk_c5 = sk_c1,
inference(demodulation,[status(thm),theory(equality)],[c_49689,c_49683]) ).
tff(c_49344,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_49298,c_16]) ).
tff(c_49745,plain,
multiply(sk_c1,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_49744,c_49344]) ).
tff(c_49765,plain,
sk_c7 != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_49745,c_49298]) ).
tff(c_49354,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_49298,c_14]) ).
tff(c_49401,plain,
! [Z_268] : ( multiply(sk_c8,multiply(sk_c1,Z_268)) = multiply(identity,Z_268) ),
inference(superposition,[status(thm),theory(equality)],[c_77,c_49362]) ).
tff(c_49416,plain,
! [Z_268] : ( multiply(sk_c8,multiply(sk_c1,Z_268)) = Z_268 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49401]) ).
tff(c_49769,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_49745,c_49416]) ).
tff(c_49775,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_49354,c_49769]) ).
tff(c_49680,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_49354,c_49665]) ).
tff(c_49312,plain,
multiply(sk_c2,sk_c3) = sk_c8,
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_49398,plain,
! [Z_268] : ( multiply(sk_c3,multiply(sk_c2,Z_268)) = multiply(identity,Z_268) ),
inference(superposition,[status(thm),theory(equality)],[c_90,c_49362]) ).
tff(c_49419,plain,
! [Z_269] : ( multiply(sk_c3,multiply(sk_c2,Z_269)) = Z_269 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49398]) ).
tff(c_49431,plain,
multiply(sk_c3,sk_c8) = sk_c3,
inference(superposition,[status(thm),theory(equality)],[c_49312,c_49419]) ).
tff(c_49693,plain,
! [Z_275] : ( multiply(sk_c2,multiply(sk_c3,Z_275)) = multiply(sk_c8,Z_275) ),
inference(superposition,[status(thm),theory(equality)],[c_49312,c_49362]) ).
tff(c_49708,plain,
multiply(sk_c8,sk_c8) = multiply(sk_c2,sk_c3),
inference(superposition,[status(thm),theory(equality)],[c_49431,c_49693]) ).
tff(c_49718,plain,
multiply(sk_c8,sk_c8) = sk_c8,
inference(demodulation,[status(thm),theory(equality)],[c_49312,c_49708]) ).
tff(c_49829,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_49775,c_49680,c_49775,c_49775,c_49718]) ).
tff(c_49830,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49765,c_49829]) ).
tff(c_49831,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_49990,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_49980,c_49831]) ).
tff(c_49297,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_49302,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49297,c_4]) ).
tff(c_49991,plain,
multiply(sk_c7,sk_c4) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49980,c_49302]) ).
tff(c_49923,plain,
! [X_2,Z_279] : ( multiply(inverse(X_2),multiply(X_2,Z_279)) = multiply(identity,Z_279) ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_49884]) ).
tff(c_49936,plain,
! [X_2,Z_279] : ( multiply(inverse(X_2),multiply(X_2,Z_279)) = Z_279 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_49923]) ).
tff(c_50153,plain,
multiply(inverse(sk_c7),identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_49991,c_49936]) ).
tff(c_50159,plain,
multiply(sk_c7,identity) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_49990,c_50153]) ).
tff(c_49836,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_49831,c_4]) ).
tff(c_49988,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49980,c_49836]) ).
tff(c_50165,plain,
multiply(inverse(sk_c7),identity) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_49988,c_49936]) ).
tff(c_50171,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_49990,c_50165]) ).
tff(c_50221,plain,
sk_c7 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_50159,c_50171]) ).
tff(c_49993,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_49980,c_49297]) ).
tff(c_50247,plain,
inverse(sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_50221,c_49993]) ).
tff(c_50277,plain,
multiply(sk_c4,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50247,c_4]) ).
tff(c_12,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_49868,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_49298,c_12]) ).
tff(c_49984,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_49980,c_49868]) ).
tff(c_50246,plain,
multiply(sk_c4,sk_c4) = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_50221,c_50221,c_49984]) ).
tff(c_50350,plain,
sk_c4 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50277,c_50246]) ).
tff(c_49994,plain,
multiply(sk_c7,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_49980,c_77]) ).
tff(c_50245,plain,
multiply(sk_c4,sk_c1) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50221,c_49994]) ).
tff(c_50408,plain,
sk_c1 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50350,c_50245]) ).
tff(c_49992,plain,
multiply(sk_c1,sk_c7) != sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_49980,c_49298]) ).
tff(c_50241,plain,
multiply(sk_c1,sk_c4) != sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_50221,c_50221,c_49992]) ).
tff(c_50352,plain,
multiply(sk_c1,identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_50350,c_50350,c_50241]) ).
tff(c_50450,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50408,c_50352]) ).
tff(c_50452,plain,
inverse(sk_c2) != sk_c3,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_50,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_50494,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_50452,c_50]) ).
tff(c_52,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_131]) ).
tff(c_50509,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_50452,c_52]) ).
tff(c_54,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_134]) ).
tff(c_50480,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_50452,c_54]) ).
tff(c_50484,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50480,c_4]) ).
tff(c_50546,plain,
! [Z_289] : ( multiply(sk_c8,multiply(sk_c5,Z_289)) = multiply(identity,Z_289) ),
inference(superposition,[status(thm),theory(equality)],[c_50484,c_50522]) ).
tff(c_50991,plain,
! [Z_300] : ( multiply(sk_c8,multiply(sk_c5,Z_300)) = Z_300 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50546]) ).
tff(c_51003,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_50509,c_50991]) ).
tff(c_51007,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_50494,c_51003]) ).
tff(c_50451,plain,
inverse(sk_c8) = sk_c7,
inference(splitRight,[status(thm)],[c_44]) ).
tff(c_50456,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_50451,c_4]) ).
tff(c_51017,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51007,c_50456]) ).
tff(c_46,plain,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_122]) ).
tff(c_50460,plain,
inverse(sk_c2) = sk_c3,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_50461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50452,c_50460]) ).
tff(c_50462,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_51018,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_51007,c_50462]) ).
tff(c_48,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c2) = sk_c3 ) ),
inference(cnfTransformation,[status(thm)],[f_125]) ).
tff(c_50501,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_50452,c_48]) ).
tff(c_51012,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_51007,c_50501]) ).
tff(c_51431,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_51012,c_51407]) ).
tff(c_51464,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51017,c_51018,c_51431]) ).
tff(c_51110,plain,
! [X_301,Z_302] : ( multiply(inverse(X_301),multiply(X_301,Z_302)) = Z_302 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50558]) ).
tff(c_51128,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_51012,c_51110]) ).
tff(c_51171,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51017,c_51018,c_51128]) ).
tff(c_51015,plain,
inverse(sk_c5) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_51007,c_50480]) ).
tff(c_51029,plain,
multiply(sk_c7,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_51015,c_4]) ).
tff(c_51203,plain,
sk_c5 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51171,c_51029]) ).
tff(c_51188,plain,
inverse(sk_c5) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51171,c_51015]) ).
tff(c_51208,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51203,c_51188]) ).
tff(c_50722,plain,
! [Z_293] : ( multiply(sk_c8,multiply(sk_c5,Z_293)) = Z_293 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50546]) ).
tff(c_50734,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_50509,c_50722]) ).
tff(c_50738,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_50494,c_50734]) ).
tff(c_50749,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_50738,c_50451]) ).
tff(c_50747,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50738,c_50456]) ).
tff(c_50575,plain,
! [Z_290] : ( multiply(sk_c8,multiply(sk_c5,Z_290)) = Z_290 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_50546]) ).
tff(c_50587,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_50509,c_50575]) ).
tff(c_50591,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_50494,c_50587]) ).
tff(c_50600,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_50591,c_50462]) ).
tff(c_50594,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_50591,c_50501]) ).
tff(c_50573,plain,
! [X3_8,X1_9,X5_6,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50451,c_56]) ).
tff(c_50574,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_50573]) ).
tff(c_50629,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c7 )
| ( multiply(X4_11,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50591,c_50591,c_50574]) ).
tff(c_50697,plain,
inverse(sk_c4) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_50594,c_50629]) ).
tff(c_50706,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50600,c_50697]) ).
tff(c_50707,plain,
! [X5_6,X3_8,X1_9] :
( ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_50573]) ).
tff(c_50708,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 ) ),
inference(splitLeft,[status(thm)],[c_50707]) ).
tff(c_50807,plain,
! [X1_295] :
( ( multiply(X1_295,sk_c7) != sk_c7 )
| ( inverse(X1_295) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50738,c_50738,c_50708]) ).
tff(c_50810,plain,
( ( sk_c7 != identity )
| ( inverse(sk_c7) != sk_c7 ) ),
inference(superposition,[status(thm),theory(equality)],[c_50747,c_50807]) ).
tff(c_50824,plain,
sk_c7 != identity,
inference(demodulation,[status(thm),theory(equality)],[c_50749,c_50810]) ).
tff(c_50748,plain,
inverse(sk_c4) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_50738,c_50462]) ).
tff(c_50742,plain,
multiply(sk_c4,sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_50738,c_50501]) ).
tff(c_50952,plain,
multiply(inverse(sk_c4),sk_c7) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_50742,c_50570]) ).
tff(c_50961,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_50747,c_50748,c_50952]) ).
tff(c_50963,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50824,c_50961]) ).
tff(c_50964,plain,
! [X3_8,X5_6] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_50707]) ).
tff(c_51047,plain,
! [X3_8,X5_6] :
( ( inverse(X3_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_8,sk_c7)) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51007,c_51007,c_51007,c_51007,c_50964]) ).
tff(c_51048,plain,
! [X5_6] : ( multiply(X5_6,inverse(X5_6)) != sk_c7 ),
inference(splitLeft,[status(thm)],[c_51047]) ).
tff(c_51346,plain,
! [X5_304] : ( multiply(X5_304,inverse(X5_304)) != identity ),
inference(demodulation,[status(thm),theory(equality)],[c_51171,c_51048]) ).
tff(c_51349,plain,
multiply(identity,identity) != identity,
inference(superposition,[status(thm),theory(equality)],[c_51208,c_51346]) ).
tff(c_51360,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2,c_51349]) ).
tff(c_51361,plain,
! [X3_8] :
( ( inverse(X3_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_8,sk_c7)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_51047]) ).
tff(c_52755,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_51599,c_51464,c_51464,c_2,c_51464,c_51464,c_51361]) ).
tff(c_51019,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_51007,c_50451]) ).
tff(c_51473,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_51464,c_51464,c_51019]) ).
tff(c_52757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52755,c_51473]) ).
tff(c_52759,plain,
inverse(sk_c1) != sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_26,plain,
( ( multiply(sk_c8,sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_92]) ).
tff(c_52798,plain,
multiply(sk_c8,sk_c6) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_52759,c_26]) ).
tff(c_20,plain,
( ( inverse(sk_c8) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_52784,plain,
inverse(sk_c8) = sk_c7,
inference(negUnitSimplification,[status(thm)],[c_52759,c_20]) ).
tff(c_52788,plain,
multiply(sk_c7,sk_c8) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52784,c_4]) ).
tff(c_52852,plain,
! [Z_334] : ( multiply(sk_c7,multiply(sk_c8,Z_334)) = multiply(identity,Z_334) ),
inference(superposition,[status(thm),theory(equality)],[c_52788,c_52828]) ).
tff(c_53192,plain,
! [Z_342] : ( multiply(sk_c7,multiply(sk_c8,Z_342)) = Z_342 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52852]) ).
tff(c_53204,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_52798,c_53192]) ).
tff(c_52758,plain,
inverse(sk_c4) = sk_c8,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_52763,plain,
multiply(sk_c8,sk_c4) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52758,c_4]) ).
tff(c_53210,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_52763,c_53192]) ).
tff(c_30,plain,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_52771,plain,
inverse(sk_c5) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_52759,c_30]) ).
tff(c_52775,plain,
multiply(sk_c8,sk_c5) = identity,
inference(superposition,[status(thm),theory(equality)],[c_52771,c_4]) ).
tff(c_53207,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_52775,c_53192]) ).
tff(c_53245,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_53210,c_53207]) ).
tff(c_28,plain,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_95]) ).
tff(c_52808,plain,
multiply(sk_c5,sk_c8) = sk_c6,
inference(negUnitSimplification,[status(thm)],[c_52759,c_28]) ).
tff(c_53246,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_53245,c_52808]) ).
tff(c_52858,plain,
! [Z_334] : ( multiply(sk_c8,multiply(sk_c4,Z_334)) = multiply(identity,Z_334) ),
inference(superposition,[status(thm),theory(equality)],[c_52763,c_52828]) ).
tff(c_53262,plain,
! [Z_344] : ( multiply(sk_c8,multiply(sk_c4,Z_344)) = Z_344 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52858]) ).
tff(c_53277,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_53246,c_53262]) ).
tff(c_53284,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_52798,c_53277]) ).
tff(c_24,plain,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnfTransformation,[status(thm)],[f_89]) ).
tff(c_52803,plain,
multiply(sk_c4,sk_c7) = sk_c8,
inference(negUnitSimplification,[status(thm)],[c_52759,c_24]) ).
tff(c_53280,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_52803,c_53262]) ).
tff(c_53751,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_53204,c_53284,c_53284,c_53280]) ).
tff(c_53291,plain,
multiply(sk_c7,sk_c7) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53284,c_52788]) ).
tff(c_53835,plain,
multiply(sk_c6,sk_c6) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53751,c_53751,c_53291]) ).
tff(c_53292,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53284,c_52784]) ).
tff(c_53736,plain,
multiply(inverse(sk_c7),sk_c6) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_53204,c_53709]) ).
tff(c_53750,plain,
multiply(sk_c7,sk_c6) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_53292,c_53736]) ).
tff(c_53852,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53835,c_53751,c_53751,c_53750]) ).
tff(c_53861,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53852,c_53751]) ).
tff(c_53742,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53709]) ).
tff(c_54000,plain,
! [X_360] : ( multiply(X_360,identity) = X_360 ),
inference(superposition,[status(thm),theory(equality)],[c_53993,c_53742]) ).
tff(c_53305,plain,
multiply(sk_c7,sk_c7) = identity,
inference(superposition,[status(thm),theory(equality)],[c_53292,c_4]) ).
tff(c_53329,plain,
sk_c7 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53305,c_53284,c_53284,c_53280]) ).
tff(c_53355,plain,
! [X_345,Z_346] : ( multiply(inverse(X_345),multiply(X_345,Z_346)) = Z_346 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52861]) ).
tff(c_53431,plain,
! [X_348,Z_349] : ( multiply(inverse(inverse(X_348)),Z_349) = multiply(X_348,Z_349) ),
inference(superposition,[status(thm),theory(equality)],[c_52872,c_53355]) ).
tff(c_53376,plain,
! [X_2] : ( multiply(inverse(inverse(X_2)),identity) = X_2 ),
inference(superposition,[status(thm),theory(equality)],[c_4,c_53355]) ).
tff(c_53438,plain,
! [X_348] : ( multiply(X_348,identity) = X_348 ),
inference(superposition,[status(thm),theory(equality)],[c_53431,c_53376]) ).
tff(c_52877,plain,
! [Z_335] : ( multiply(sk_c7,multiply(sk_c8,Z_335)) = Z_335 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52852]) ).
tff(c_52889,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_52798,c_52877]) ).
tff(c_52895,plain,
multiply(sk_c7,identity) = sk_c4,
inference(superposition,[status(thm),theory(equality)],[c_52763,c_52877]) ).
tff(c_52892,plain,
multiply(sk_c7,identity) = sk_c5,
inference(superposition,[status(thm),theory(equality)],[c_52775,c_52877]) ).
tff(c_52939,plain,
sk_c5 = sk_c4,
inference(demodulation,[status(thm),theory(equality)],[c_52895,c_52892]) ).
tff(c_52951,plain,
multiply(sk_c4,sk_c8) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_52939,c_52808]) ).
tff(c_52967,plain,
! [Z_337] : ( multiply(sk_c8,multiply(sk_c4,Z_337)) = Z_337 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_52858]) ).
tff(c_52982,plain,
multiply(sk_c8,sk_c6) = sk_c8,
inference(superposition,[status(thm),theory(equality)],[c_52951,c_52967]) ).
tff(c_52992,plain,
sk_c8 = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_52798,c_52982]) ).
tff(c_52988,plain,
multiply(sk_c8,sk_c8) = sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_52803,c_52967]) ).
tff(c_53040,plain,
sk_c7 = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_52889,c_52992,c_52992,c_52988]) ).
tff(c_53048,plain,
multiply(sk_c6,sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_53040,c_53040,c_52889]) ).
tff(c_53108,plain,
multiply(inverse(sk_c6),sk_c6) = sk_c6,
inference(superposition,[status(thm),theory(equality)],[c_53048,c_52872]) ).
tff(c_53114,plain,
sk_c6 = identity,
inference(demodulation,[status(thm),theory(equality)],[c_4,c_53108]) ).
tff(c_53000,plain,
inverse(sk_c7) = sk_c7,
inference(demodulation,[status(thm),theory(equality)],[c_52992,c_52784]) ).
tff(c_53044,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_53040,c_53040,c_53000]) ).
tff(c_53119,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53114,c_53114,c_53044]) ).
tff(c_52875,plain,
! [X3_8,X1_9,X5_6,X4_11] :
( ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52784,c_56]) ).
tff(c_52876,plain,
! [X4_11] :
( ( inverse(X4_11) != sk_c8 )
| ( multiply(X4_11,sk_c8) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_52875]) ).
tff(c_53009,plain,
! [X4_338] :
( ( inverse(X4_338) != sk_c7 )
| ( multiply(X4_338,sk_c7) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52992,c_52992,c_52876]) ).
tff(c_53025,plain,
inverse(identity) != sk_c7,
inference(superposition,[status(thm),theory(equality)],[c_2,c_53009]) ).
tff(c_53041,plain,
inverse(identity) != sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_53040,c_53025]) ).
tff(c_53117,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_53114,c_53041]) ).
tff(c_53190,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53119,c_53117]) ).
tff(c_53191,plain,
! [X5_6,X3_8,X1_9] :
( ( multiply(X5_6,inverse(X5_6)) != sk_c8 )
| ( inverse(X3_8) != sk_c8 )
| ( multiply(sk_c8,multiply(X3_8,sk_c8)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c8 )
| ( inverse(X1_9) != sk_c8 ) ),
inference(splitRight,[status(thm)],[c_52875]) ).
tff(c_53300,plain,
! [X5_6,X3_8,X1_9] :
( ( multiply(X5_6,inverse(X5_6)) != sk_c7 )
| ( inverse(X3_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_8,sk_c7)) != sk_c7 )
| ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53284,c_53284,c_53284,c_53284,c_53284,c_53284,c_53191]) ).
tff(c_53301,plain,
! [X1_9] :
( ( multiply(X1_9,sk_c7) != sk_c7 )
| ( inverse(X1_9) != sk_c7 ) ),
inference(splitLeft,[status(thm)],[c_53300]) ).
tff(c_53691,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_53329,c_53438,c_53329,c_53329,c_53301]) ).
tff(c_53333,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53329,c_53329,c_53292]) ).
tff(c_53693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53691,c_53333]) ).
tff(c_53694,plain,
! [X3_8,X5_6] :
( ( inverse(X3_8) != sk_c7 )
| ( multiply(sk_c7,multiply(X3_8,sk_c7)) != sk_c7 )
| ( multiply(X5_6,inverse(X5_6)) != sk_c7 ) ),
inference(splitRight,[status(thm)],[c_53300]) ).
tff(c_66158,plain,
inverse(identity) != identity,
inference(demodulation,[status(thm),theory(equality)],[c_54014,c_53861,c_54000,c_53861,c_53861,c_2,c_53861,c_53861,c_53694]) ).
tff(c_53754,plain,
inverse(sk_c6) = sk_c6,
inference(demodulation,[status(thm),theory(equality)],[c_53751,c_53751,c_53292]) ).
tff(c_53856,plain,
inverse(identity) = identity,
inference(demodulation,[status(thm),theory(equality)],[c_53852,c_53852,c_53754]) ).
tff(c_66160,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66158,c_53856]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP213-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:06:20 EDT 2023
% 0.14/0.36 % CPUTime :
% 17.12/7.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.23/7.63
% 17.23/7.63 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.23/7.69
% 17.23/7.69 Inference rules
% 17.23/7.69 ----------------------
% 17.23/7.69 #Ref : 0
% 17.23/7.69 #Sup : 15832
% 17.23/7.69 #Fact : 0
% 17.23/7.69 #Define : 0
% 17.23/7.69 #Split : 19
% 17.23/7.69 #Chain : 0
% 17.23/7.69 #Close : 0
% 17.23/7.69
% 17.23/7.69 Ordering : KBO
% 17.23/7.69
% 17.23/7.69 Simplification rules
% 17.23/7.69 ----------------------
% 17.23/7.69 #Subsume : 6
% 17.23/7.69 #Demod : 50714
% 17.23/7.69 #Tautology : 12934
% 17.23/7.69 #SimpNegUnit : 40
% 17.23/7.69 #BackRed : 348
% 17.23/7.69
% 17.23/7.69 #Partial instantiations: 0
% 17.23/7.69 #Strategies tried : 1
% 17.23/7.69
% 17.23/7.69 Timing (in seconds)
% 17.23/7.69 ----------------------
% 17.23/7.69 Preprocessing : 0.52
% 17.23/7.69 Parsing : 0.22
% 17.23/7.69 CNF conversion : 0.02
% 17.23/7.69 Main loop : 5.98
% 17.23/7.69 Inferencing : 1.24
% 17.23/7.69 Reduction : 3.76
% 17.23/7.69 Demodulation : 3.52
% 17.23/7.69 BG Simplification : 0.11
% 17.23/7.69 Subsumption : 0.59
% 17.23/7.69 Abstraction : 0.26
% 17.23/7.69 MUC search : 0.00
% 17.23/7.69 Cooper : 0.00
% 17.23/7.69 Total : 6.60
% 17.23/7.69 Index Insertion : 0.00
% 17.23/7.69 Index Deletion : 0.00
% 17.23/7.69 Index Matching : 0.00
% 17.23/7.69 BG Taut test : 0.00
%------------------------------------------------------------------------------